On the exponent of the product of two groups. (Q2504991)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the exponent of the product of two groups. |
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On the exponent of the product of two groups. (English)
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28 September 2006
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Let \(G=AB\) be a product of groups of exponent \(e\) and \(f\), respectively. The author imposes various conditions on the groups \(A\) and \(B\) or on \(G\) and proves restrictions on the exponent of \(G\). For example, if \(G\) is nilpotent of class \(c\) by Abelian, then \(\exp(G)\) divides \((ef)^{2c+1}\).
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products of subgroups
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groups of finite exponent
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metabelian groups
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derived lengths
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